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Manifold Destiny
"Manifold Destiny" is an article in ''The New Yorker'' written by Sylvia Nasar and David Gruber and published in the 28 August 2006 issue of the magazine.Sylvia Nasar and David Gruber.Manifold Destiny: A legendary problem and the battle over who solved it, The New Yorker, 21 August 2006. (The title is a word play on " Manifest Destiny".) It claims to give a detailed account (including interviews with many mathematicians) of some of the circumstances surrounding the proof of the Poincaré conjecture, one of the most important accomplishments of 20th and 21st century mathematics, and traces the attempts by three teams of mathematicians to verify the proof given by Grigori Perelman. Subtitled "A legendary problem and the battle over who solved it", the article concentrates on the human drama of the story, especially the discussion on who contributed how much to the proof of the Poincaré conjecture. Interwoven with the article is an interview with the reclusive mathematician Grigori ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The New Yorker
''The New Yorker'' is an American weekly magazine featuring journalism, commentary, criticism, essays, fiction, satire, cartoons, and poetry. Founded as a weekly in 1925, the magazine is published 47 times annually, with five of these issues covering two-week spans. Although its reviews and events listings often focus on the Culture of New York City, cultural life of New York City, ''The New Yorker'' has a wide audience outside New York and is read internationally. It is well known for its illustrated and often topical covers, its commentaries on popular culture and eccentric American culture, its attention to modern fiction by the inclusion of Short story, short stories and literary reviews, its rigorous Fact-checking, fact checking and copy editing, its journalism on politics and social issues, and its single-panel cartoons sprinkled throughout each issue. Overview and history ''The New Yorker'' was founded by Harold Ross and his wife Jane Grant, a ''The New York Times, N ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
String Theory
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interact with each other. On distance scales larger than the string scale, a string looks just like an ordinary particle, with its mass, charge, and other properties determined by the vibrational state of the string. In string theory, one of the many vibrational states of the string corresponds to the graviton, a quantum mechanical particle that carries the gravitational force. Thus, string theory is a theory of quantum gravity. String theory is a broad and varied subject that attempts to address a number of deep questions of fundamental physics. String theory has contributed a number of advances to mathematical physics, which have been applied to a variety of problems in black hole physics, early universe cosmology, nuclear physics, and conde ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Peking University
Peking University (PKU; ) is a public research university in Beijing, China. The university is funded by the Ministry of Education. Peking University was established as the Imperial University of Peking in 1898 when it received its royal charter by the Guangxu Emperor. A successor of the older ''Guozijian'' Imperial College, the university's romanized name 'Peking' retains the older transliteration of 'Beijing' that has been superseded in most other contexts. Perennially ranked as one of the top academic institutions in China and the world; as of 2021 Peking University was ranked 16th globally and 1st in the Asia-Pacific & emerging countries by Times Higher Education, while as of 2022 it was ranked 12th globally and 1st in Asia by QS University Rankings. Throughout its history, Peking University has had an important role "at the center of major intellectual movements" in China. Abolished of its status as a royal institution after the fall of the Qing dynasty and the Xinhai R ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plagiarism
Plagiarism is the fraudulent representation of another person's language, thoughts, ideas, or expressions as one's own original work.From the 1995 '' Random House Compact Unabridged Dictionary'': use or close imitation of the language and thoughts of another author and the representation of them as one's own original work qtd. in From the Oxford English Dictionary: The action or practice of taking someone else's work, idea, etc., and passing it off as one's own; literary theft. While precise definitions vary, depending on the institution, such representations are generally considered to violate academic integrity and journalistic ethics as well as social norms of learning, teaching, research, fairness, respect and responsibility in many cultures. It is subject to sanctions such as penalties, suspension, expulsion from school or work, substantial fines and even imprisonment. Plagiarism is typically not in itself a crime, but like counterfeiting, fraud can be punished in a court f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gang Tian
Tian Gang (; born November 24, 1958) is a Chinese mathematician. He is a professor of mathematics at Peking University and Higgins Professor Emeritus at Princeton University. He is known for contributions to the mathematical fields of Kähler geometry, Gromov-Witten theory, and geometric analysis. As of 2020, he is the Vice Chairman of the China Democratic League and the President of the Chinese Mathematical Society. From 2017 to 2019 he served as the Vice President of Peking University. Biography Tian was born in Nanjing, Jiangsu, China. He qualified in the second college entrance exam after Cultural Revolution in 1978. He graduated from Nanjing University in 1982, and received a master's degree from Peking University in 1984. In 1988, he received a Ph.D. in mathematics from Harvard University, under the supervision of Shing-Tung Yau. In 1998, he was appointed as a Cheung Kong Scholar professor at Peking University. Later his appointment was changed to Cheung Kong Schol ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hong Kong
Hong Kong ( (US) or (UK); , ), officially the Hong Kong Special Administrative Region of the People's Republic of China ( abbr. Hong Kong SAR or HKSAR), is a city and special administrative region of China on the eastern Pearl River Delta in South China. With 7.5 million residents of various nationalities in a territory, Hong Kong is one of the most densely populated places in the world. Hong Kong is also a major global financial centre and one of the most developed cities in the world. Hong Kong was established as a colony of the British Empire after the Qing Empire ceded Hong Kong Island from Xin'an County at the end of the First Opium War in 1841 then again in 1842.. The colony expanded to the Kowloon Peninsula in 1860 after the Second Opium War and was further extended when Britain obtained a 99-year lease of the New Territories in 1898... British Hong Kong was occupied by Imperial Japan from 1941 to 1945 during World War II; British administration resume ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mirror Symmetry (string Theory)
In algebraic geometry and theoretical physics, mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds. The term refers to a situation where two Calabi–Yau manifolds look very different geometrically but are nevertheless equivalent when employed as extra dimensions of string theory. Early cases of mirror symmetry were discovered by physicists. Mathematicians became interested in this relationship around 1990 when Philip Candelas, Xenia de la Ossa, Paul Green, and Linda Parkes showed that it could be used as a tool in enumerative geometry, a branch of mathematics concerned with counting the number of solutions to geometric questions. Candelas and his collaborators showed that mirror symmetry could be used to count rational curves on a Calabi–Yau manifold, thus solving a longstanding problem. Although the original approach to mirror symmetry was based on physical ideas that were not understood in a mathematically precise way, some of its mathem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Givental
Alexander Givental (russian: Александр Борисович Гивенталь) is a Russian-American mathematician working in symplectic topology and singularity theory, as well as their relation to topological string theories. He graduated from Moscow Phys-Math school number 2 (later renamed into Lyceum ) and then the Gubkin Russian State University of Oil and Gas, and he finally his Ph.D. under the supervision of V. I. Arnold in 1987. He emigrated to the USA in 1990. He provided the first proof of the mirror conjecture for Calabi–Yau manifolds that are complete intersections in toric ambient spaces, in particular for quintic hypersurfaces in P4. He is now Professor of Mathematics at the University of California, Berkeley. As an extracurricular activity, he translates Russian poetry into English and publishes books, including his own translation of a textbook () in geometry by Andrey Kiselyov and poetry of Marina Tsvetaeva Marina Ivanovna Tsvetaeva (russian: Ма ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
China
China, officially the People's Republic of China (PRC), is a country in East Asia. It is the world's most populous country, with a population exceeding 1.4 billion, slightly ahead of India. China spans the equivalent of five time zones and borders fourteen countries by land, the most of any country in the world, tied with Russia. Covering an area of approximately , it is the world's third largest country by total land area. The country consists of 22 provinces, five autonomous regions, four municipalities, and two Special Administrative Regions (Hong Kong and Macau). The national capital is Beijing, and the most populous city and financial center is Shanghai. Modern Chinese trace their origins to a cradle of civilization in the fertile basin of the Yellow River in the North China Plain. The semi-legendary Xia dynasty in the 21st century BCE and the well-attested Shang and Zhou dynasties developed a bureaucratic political system to serve hereditary monarchies, or dyna ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shiing-Shen Chern
Shiing-Shen Chern (; , ; October 28, 1911 – December 3, 2004) was a Chinese-American mathematician and poet. He made fundamental contributions to differential geometry and topology. He has been called the "father of modern differential geometry" and is widely regarded as a leader in geometry and one of the greatest mathematicians of the twentieth century, winning numerous awards and recognition including the Wolf Prize and the inaugural Shaw Prize. In memory of Shiing-Shen Chern, the International Mathematical Union established the Chern Medal in 2010 to recognize "an individual whose accomplishments warrant the highest level of recognition for outstanding achievements in the field of mathematics". Chern worked at the Institute for Advanced Study (1943–45), spent about a decade at the University of Chicago (1949-1960), and then moved to University of California, Berkeley, where he co-founded the Mathematical Sciences Research Institute in 1982 and was the institute's found ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ricci Flow
In the mathematical fields of differential geometry and geometric analysis, the Ricci flow ( , ), sometimes also referred to as Hamilton's Ricci flow, is a certain partial differential equation for a Riemannian metric. It is often said to be analogous to the diffusion of heat and the heat equation, due to formal similarities in the mathematical structure of the equation. However, it is nonlinear and exhibits many phenomena not present in the study of the heat equation. The Ricci flow, so named for the presence of the Ricci tensor in its definition, was introduced by Richard Hamilton, who used it through the 1980s to prove striking new results in Riemannian geometry. Later extensions of Hamilton's methods by various authors resulted in new applications to geometry, including the resolution of the differentiable sphere conjecture by Simon Brendle and Richard Schoen. Following Shing-Tung Yau's suggestion that the singularities of solutions of the Ricci flow could identify the topo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
